A graphing calculator is recommended.

Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on the x-axis and its other two vertices are above the x-axis, lying on the parabola y = k - x2, k = 9. (Give each answer correct to two decimal places.) Find answer for along both x and y axis

Question

A graphing calculator is recommended.

Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on the x-axis and its other two vertices are above the x-axis, lying on the parabola y = k - x2, k = 9. (Give each answer correct to two decimal places.) Find answer for along both x and y axis

anonymous · Answer

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anonymous · Answer

Can probably set up an area function and maximize using derivatives. How's your calculus these days, @tserio94 ?

anonymous · Answer

its good can you show me how it should be set up @cliffsedge

anonymous · Answer

your area function is:  $\large A=2xy=2x(k-x^2) $  where x > 0

anonymous · Answer

@dpalnc i just plug the 9 and solve?